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Matrices Totally Positive Relative to a Tree

dc.contributor.authorJhondon, Charles R.
dc.contributor.authorCostas-Santos, Roberto S.
dc.contributor.authorTadchiev, Boris
dc.date.accessioned2024-02-12T17:03:27Z
dc.date.available2024-02-12T17:03:27Z
dc.date.issued2009
dc.identifier.citationMatrices Totally Positive Relative to a Tree Johnson, Charles R.; Costas-Santos, R. S. and Tadchiev, B. Electronic Journal of Linear Algebra 18 (2009), 211 — 221es
dc.identifier.urihttps://hdl.handle.net/20.500.12412/5188
dc.description.abstractIt is known that for a totally positive (TP) matrix, the eigenvalues are positive and distinct and the eigenvector associated with the smallest eigenvalue is totally nonzero and has an alternating sign pattern. Here, a certain weakening of the TP hypothesis is shown to yield a similar conclusion.es
dc.language.isoenges
dc.titleMatrices Totally Positive Relative to a Treees
dc.typearticlees
dc.identifier.doi10.13001/1081-3810.1306
dc.journal.titleElectronic Journal of Linear Algebraes
dc.page.initial211es
dc.page.final221es
dc.relation.references10.13001/1081-3810.1306es
dc.rights.accessRightsopenAccesses
dc.subject.keywordTotally positive matriceses
dc.subject.keywordSylvester’s identityes
dc.subject.keywordGraph theoryes
dc.subject.keywordSpectral theoryes
dc.volume.number18es


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